Wave dispersion responses of graphene platelets reinforced polymer composite plates with mounted piezoelectric layers

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2025-06-01 Epub Date: 2025-02-13 DOI:10.1016/j.tws.2025.113077

Fenfei Hua , Xiaoqiang Zhou

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Abstract

This work explores the wave dispersion behavior of functionally graded graphene platelet (GPL) reinforced polymer composite plates with the piezoelectric layers mounted at the surfaces. The weight fractions of GPL distribute symmetrically in the multilayered structure with three patterns. Considering the closed-circuit electrical condition, the electric potential obeys a cosine variation along the thickness of piezoelectric layer. The kinematic relations of the piezoelectric composite plate are characterized using the Reissner-Mindlin theory along with the Hamilton's principle. The supplementary governing equation for the electric potential component is obtained through the Maxwell's equation. The analytical dispersion relations are described by a quadratic eigenvalue problem in terms of wavenumber and frequency. The influences of GPL distribution pattern, GPL weight fraction, GPL size, and piezoelectric layer thickness on the wave dispersion responses are studied in detail. The results manifest that the presence of piezoelectric layer greatly reduces the wave propagation velocity and cut-off frequency. Furthermore, this investigation provides a guideline for the design and development of smart graphene reinforced polymer composites.

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安装了压电层的石墨烯平板增强聚合物复合板的波分散响应

本研究探讨了在表面安装压电层的功能梯度石墨烯血小板（GPL）增强聚合物复合材料板的波色散行为。GPL的权重分数在多层结构中以三种模式对称分布。考虑闭合电条件，电势沿压电层厚度服从余弦变化。利用Reissner-Mindlin理论和Hamilton原理对压电复合材料板的运动关系进行了表征。通过麦克斯韦方程得到了电势分量的补充控制方程。解析色散关系用波数和频率的二次特征值问题来描述。详细研究了GPL分布模式、GPL权重分数、GPL尺寸和压电层厚度对波色散响应的影响。结果表明，压电层的存在大大降低了波的传播速度和截止频率。此外，该研究为智能石墨烯增强聚合物复合材料的设计和开发提供了指导。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.